Phase space solutions in scalar-tensor cosmological models

TL;DR

This paper investigates the solutions of scalar-tensor gravitational theories using phase space analysis, aiming to identify parameter forms that align with current cosmological observations.

Contribution

It applies dynamical systems methods to scalar-tensor models, especially Brans-Dicke theory, to find parameter choices consistent with observed universe behavior.

Findings

Identification of phase space structures for scalar-tensor models

Conditions for stability of cosmological solutions

Potential parameter values fitting current observations

Abstract

An analysis of the solutions for the field equations of generalized scalar-tensor theories of gravitation is performed through the study of the geometry of the phase space and the stability of the solutions, with special interest in the Brans-Dicke model. Particularly, we believe to be possible to find suitable forms of the Brans-Dicke parameter omega and potential V of the scalar field, using the dynamical systems approach, in such a way that they can be fitted in the present observed scenario of the Universe.